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Finding the Fourth Proportional to 358.14, 494.19 and 210.82

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Solution

The fourth proportional to 358.14, 494.19 and 210.82 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 494.19 = 210.82 : x
  2. Step 2: Convert to fraction form
    358.14/494.19 = 210.82/x
  3. Step 3: Cross multiply
    358.14x = 494.19 × 210.82
  4. Step 4: Simplify right side
    358.14x = 104,185.14
  5. Step 5: Solve for x
    x = 104,185.14/358.14
  6. Step 6: Final answer
    x = 290.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.